7530872832 has 352 divisors, whose sum is σ = 26843539200. Its totient is φ = 2038431744.

The previous prime is 7530872827. The next prime is 7530872863. The reversal of 7530872832 is 2382780357.

7530872832 is a `hidden beast` number, since 7 + 530 + 87 + 2 + 8 + 32 = 666.

It is a super-2 number, since 2×7530872832² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396361719 + ... + 396361737.

Almost surely, 2^7530872832 is an apocalyptic number.

7530872832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7530872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421769600).

7530872832 is an abundant number, since it is smaller than the sum of its proper divisors (19312666368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7530872832 is an frugal number, since it uses more digits than its factorization.

7530872832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7530872832 is about 86780.6017033761. The cubic root of 7530872832 is about 1960.1159892486.

The spelling of 7530872832 in words is "seven billion, five hundred thirty million, eight hundred seventy-two thousand, eight hundred thirty-two".